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Finding the Fourth Proportional to 17,153.76, 23,669.85 and 9,599.77

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Solution

The fourth proportional to 17,153.76, 23,669.85 and 9,599.77 is: 13,246.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,153.76 : 23,669.85 = 9,599.77 : x
  2. Step 2: Convert to fraction form
    17,153.76/23,669.85 = 9,599.77/x
  3. Step 3: Cross multiply
    17,153.76x = 23,669.85 × 9,599.77
  4. Step 4: Simplify right side
    17,153.76x = 227,225,115.93
  5. Step 5: Solve for x
    x = 227,225,115.93/17,153.76
  6. Step 6: Final answer
    x = 13,246.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.